Question 1 What is the median of variable​ x?   The median of variable x is   ​(Round to the nearest integer as​ needed.)   ​What is the third quartile of variable​ y?   The third quartile of variable y is

Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made the time period of January 1 to March 31. The table gives the defect and the number of defects. Do the data support the notion that each defect type occurs in the same proportion? Test at the 5% level. Number of Defective Lenses Defect type Number of defects Scratch 1866 Right shaped - small 1935 Flaked 1979 Wrong axis 1921 Chamfer wrong 1864 Crazing, cracks 1991 Wrong shape 2004 Wrong PD 1895 Spots and bubbles 1917 Wrong height 1885 Right shape - big 1875 Lost in lab 1886 Spots/bubble - intern 1935   State the hypotheses.H0: Each defect type     in the same proportion.Ha: Each defect type     in the same proportion. Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to three decimal places.χ2 =  Calculate the p-value. Round to four decimal places.p-value =  State your decision.Since p-value     0.05,…

Normal No Spacing Heading 1 A Paragraph Styles Font 2. Consider the boxplots below and answer the questions that follow. Boxplots of Data Sets A and B A 10 15 20 25 30 35 40 Values a. Which data set has the larger range? b. Circle all outliers. c. What is the value of the median for data set B (approximately)? d. What is the value of the first quartile for data set A (approximately)? e. Which data set has the larger interquartile range (IQR)? f. About 75% of data set B lies below what value? Preditions: On Accessibility: Investigate O Focus 10 fg ho prt sc 1 & * 8. 00

Provided below is a simple data set for you to practice finding descriptive measures. For the data set, complete parts (a) through (c). 0, 1, 3, 5, 6, 0, 1, 3,5,6 a. Obtain the quartiles. Q₁ = ad Q₂ Q3 (Type integers or decimals. Do not round.) b. Determine the interquartile range. The interquartile range is (Type an integer or a decimal. Do not round.) 11 c. Find the five-number summary. 100000 (Type integers or decimals. Do not round. Use ascending order.)